Picosecond-level corrections to the Shapiro time delay in a Schwarzschild spacetime
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909787018493952 |
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| author | del Barco, Oscar |
| author_facet | del Barco, Oscar |
| contents | We present an exact analytical equation for the Shapiro time delay (STD) due to a spherical non-rotating body. As a result, accurate values of the STD in comparison with first and second-order expressions for Schwarzschild spacetime (1Sch and 2Sch) and first-order post-Newtonian formalism (1PN) are achieved. Accordingly, the lowest STD discrepancies between our exact equation and these approximations lie within the picosecond and sub-picosecond level for light beams affected by the Sun's gravity. Our results might be useful for time delay measurements in the solar system or extragalactic binary pulsar systems, where a high accuracy level is required. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_11366 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Picosecond-level corrections to the Shapiro time delay in a Schwarzschild spacetime del Barco, Oscar General Relativity and Quantum Cosmology We present an exact analytical equation for the Shapiro time delay (STD) due to a spherical non-rotating body. As a result, accurate values of the STD in comparison with first and second-order expressions for Schwarzschild spacetime (1Sch and 2Sch) and first-order post-Newtonian formalism (1PN) are achieved. Accordingly, the lowest STD discrepancies between our exact equation and these approximations lie within the picosecond and sub-picosecond level for light beams affected by the Sun's gravity. Our results might be useful for time delay measurements in the solar system or extragalactic binary pulsar systems, where a high accuracy level is required. |
| title | Picosecond-level corrections to the Shapiro time delay in a Schwarzschild spacetime |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2509.11366 |